Question

for what value of k the line x+y=3 touches the parabola y^2=kx

Answer 1

Answer:

given that

x+y=3

y^2=kx

(x+y)^2 = (3)^2

x^2+2xy+y^2 = 9

x^2+2xy+kx = 9

k= 9/2